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Finding the Fourth Proportional to 59,876.16, 82,607.88 and 35,984.40

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Solution

The fourth proportional to 59,876.16, 82,607.88 and 35,984.40 is: 49,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,876.16 : 82,607.88 = 35,984.40 : x
  2. Step 2: Convert to fraction form
    59,876.16/82,607.88 = 35,984.40/x
  3. Step 3: Cross multiply
    59,876.16x = 82,607.88 × 35,984.40
  4. Step 4: Simplify right side
    59,876.16x = 2,972,594,997.07
  5. Step 5: Solve for x
    x = 2,972,594,997.07/59,876.16
  6. Step 6: Final answer
    x = 49,645.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.